There is no such thing as reversing phase. Phase is a time related issue, and inverting or reversing is not a relevant concept.
You can, however, invert the polarity, which is not the same thing as phase AT ALL. The marketing guys who print up the silk screens for consoles and such don't seem to get this, but all of those "Phase" buttons on all that gear out there are actually polarity buttons.
If your gear is balanced, it is very easy to make a polarity inverting adaptor (in fact, I would bet you could buy them if you do not have the soldering skills). You just need to make a barrel adaptor or a cable with the hot and neutral inverted on one end. If it is an XLR connector, then you reverse pins one and two. If it is a TRS cable, you reverse the tip and the sleeve.
Just remember; you are not, and can not, invert phase. You are inverting polarity. This may or may not help with phase issues, but it will never eliminate them.
THIS THREAD should clear up a little bit of what I am talking about.
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"Cowards can never be moral."
M.K. Gandhi